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135303540 = 223519711447
BaseRepresentation
bin10000001000010…
…01000101110100
3100102121010120020
420010021011310
5234114203130
621232005140
73232026651
oct1004110564
9312533506
10135303540
116a414609
12393907b0
1322054788
1413d80c28
15bd29e10
hex8109174

135303540 has 48 divisors (see below), whose sum is σ = 380806272. Its totient is φ = 35894656.

The previous prime is 135303521. The next prime is 135303587. The reversal of 135303540 is 45303531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135303540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6097 + ... + 17543.

It is an arithmetic number, because the mean of its divisors is an integer number (7933464).

Almost surely, 2135303540 is an apocalyptic number.

135303540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135303540 is an abundant number, since it is smaller than the sum of its proper divisors (245502732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135303540 is a wasteful number, since it uses less digits than its factorization.

135303540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656 (or 11654 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 135303540 is about 11632.0049862438. The cubic root of 135303540 is about 513.3769747946.

Subtracting from 135303540 its reverse (45303531), we obtain a palindrome (90000009).

The spelling of 135303540 in words is "one hundred thirty-five million, three hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 985 1182 1970 2364 2955 3940 5910 11447 11820 22894 34341 45788 57235 68682 114470 137364 171705 228940 343410 686820 2255059 4510118 6765177 9020236 11275295 13530354 22550590 27060708 33825885 45101180 67651770 135303540